What is the answer to (3x(x-2))/(2x-1)x=0 ?

The answer to (3x(x-2))/(2x-1)x=0 is x=0,x=2

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(3x(x-2))/(2x-1)x=0

\frac{3 x ( x - 2 )}{2 x - 1} x = 0

x = 0, x = 2

Solution steps

\frac{3 x ( x - 2 )}{2 x - 1} x = 0

Simplify

\frac{3 x ( x - 2 )}{2 x - 1} x : \frac{3 x ^{2} ( x - 2 )}{2 x - 1}

\frac{3 x ^{2} ( x - 2 )}{2 x - 1} = 0

\frac{f ( x )}{g ( x )} = 0 \Rightarrow f (x) = 0

3 x^{2} (x - 2) = 0

Solve

3 x^{2} (x - 2) = 0 : x = 0, x = 2

x = 0, x = 2

Verify Solutions

Find undefined (singularity) points:

x = \frac{1}{2}

Combine undefined points with solutions:

x = 0, x = 2

e \frac{D}{e + D} = 0.42

\frac{v}{2} = \frac{8}{v}

54 \frac{m}{s} = \frac{km}{s}

\frac{1}{3 ( x + 1 )} = \frac{x + 1}{2}

\frac{6}{2 x} = 1

What is the answer to (3x(x-2))/(2x-1)x=0 ?
The answer to (3x(x-2))/(2x-1)x=0 is x=0,x=2
Solve for x: (3x(x-2))/(2x-1)x=0
The solution is x=0,x=2